AP Statistics Chapter 5 Quiz
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Questions and Answers

What is the probability that you will be ticketed for illegal parking on campus after ten days of not being ticketed?

  • 1/3 (correct)
  • 1/2
  • 0.5
  • 1/4

    • If Event A has a probability of 0.2 and Event B has a probability of 0.8, what is P(A or B) if A and B are disjoint?

    1.0

    What is P(A or B) if P(A) = 0.24 and P(B) = 0.52 and A and B are independent?

    0.6352

    What is the probability that at least one of 10 people is a universal donor if only 7.2% of the population has O-negative blood?

    <p>0.526</p> Signup and view all the answers

    What is the probability that a randomly chosen death in the US was due to diabetes based on racial statistics?

    <p>0.030</p> Signup and view all the answers

    What is the probability that two socks pulled from a drawer of 6 blue and 10 grey socks match?

    <p>0.500</p> Signup and view all the answers

    If P(A ∪ B) = S, P(A and Bc) = 0.25, and P(Ac) = 0.35, what is P(B)?

    <p>0.75</p> Signup and view all the answers

    What is the probability that you win the next two tennis matches if you have a probability of 0.6 of winning each match?

    <p>0.36</p> Signup and view all the answers

    The probability of any outcome of a random phenomenon is defined as:

    <p>The proportion of an infinite number of repetitions on which the outcome occurs</p> Signup and view all the answers

    Study Notes

    Probability of Ticketing for Illegal Parking

    • Probability of getting ticketed for illegal parking on campus is approximately 1/3.
    • If you illegally parked for 9 consecutive days without being ticketed, the probability of being caught on the 10th day remains 1/3 due to independent outcomes.

    Disjoint Events

    • Event A has a probability of 0.2; Event B has a probability of 0.8.
    • If A and B are disjoint, then the probability of either A or B occurring is P(A or B) = 1.0.

    Independent Events

    • For independent events A and B where P(A) = 0.24 and P(B) = 0.52, the probability of A or B occurring is 0.6352.
    • Formula: P(A or B) = P(A) + P(B) - P(A and B), where P(A and B) = P(A) × P(B).

    Blood Donor Probability

    • Only 7.2% of the American population has O-negative blood, making it a universal donor type.
    • For 10 randomly chosen people, the probability that at least one is a universal donor is approximately 0.526.
    • Among deaths in a recent year: 86% were white, 12% black, and 2% Asian.
    • Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians.
    • Overall probability that a randomly chosen death was due to diabetes is about 0.030.

    Sock Matching Probability

    • A drawer contains 6 blue and 10 grey socks.
    • The probability of drawing two matching socks without replacement is 0.500.

    Total Probability and Sample Space

    • If A ∪ B = S (the sample space), and P(A and Bc) = 0.25, and P(Ac) = 0.35, the probability of event B occurring is calculated as 0.75.

    Winning Tennis Matches

    • Probability of winning each tennis match is 0.6.
    • The probability of winning the next two matches consecutively is 0.36.

    Interpretation of Probability

    • The probability of any outcome in a random phenomenon reflects the proportion of an infinite number of repetitions during which the outcome occurs, which is answer (d).

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    Description

    Test your understanding of Chapter 5 in AP Statistics with these multiple choice questions. This quiz covers key concepts such as probability and independent events, helping you to reinforce your learning effectively.

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